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Journal of Biological Physics

, Volume 31, Issue 3–4, pp 525–532 | Cite as

Lyotropic Ion Channel Current Model Compared with Ising Model

  • Leif MatssonEmail author
  • Virulh Sa-Yakanit
  • Santipong Boribarn
Article

Abstract

Trans-membrane currents in ligand-gated ion channels are calculated in a non-equilibrium, chemically open whole cell system. The model is lyotropic in the sense that dynamics and parameters such as ligand concentration for half-maximal response (scale of response), and threshold for firing in neurons, are nonlinear functions of the reactant concentrations. The derived total current fits recorded data significantly better than those derived from mass action, Ising, and other equilibrium type models, in which the derived response can be displaced from the assessed response by several orders in the ligand concentration. A comparison of the model obtained with an Ising-like model provides a methodology to obtain the non-equilibrium scaling dependence of Ising-like models on the reactant concentrations.

Key words

ion-channel currents non-local coopeartivity non-equlibrium neuron firing drug potency patch clamp Lyotropic ion-channel system Ising model 

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References

  1. Hill, A.V.: The Combinations of Hemoglobin with Oxygen and with Carbon Monoxide I, Biochem. J. 7 (1913), 471–480.Google Scholar
  2. Langmuir, I.: The Adsorption of Gases on Plane Surfaces of Glass, Mica and Platinum, J. Am. Chem. Soc. 40 (1918), 1361–1403.CrossRefGoogle Scholar
  3. Liu, Y. and Dilger, P.: Application of the One- and Two-Dimensional Ising Models to Studies of Cooperativity between Ion Channels, Biophys. J. 64 (1993), 26–35.Google Scholar
  4. Matsson, L.: DNA Replication and Cell Cycle Progression Regulated by Long Range Interaction between Protein Complexes Bound to DNA, J. Biol. Phys. 27 (2001), 329–359.CrossRefGoogle Scholar
  5. Matsson, L.: Models of DNA Dynamics and Replication, J. Biol. Phys. 31 (2005), 303–321.Google Scholar
  6. Barlow, R. and Blake, J.F.: Hill Coefficients and the Logistic Equation, Trends Pharmacol. Sci. 10 (1989), 440–441.CrossRefGoogle Scholar
  7. Kenakin, T.P.: Challenges for Receptor Theory as a Tool for Drug and Drug Receptor Classification, Trends Pharmacol. Sci. 10 (1989), 18–22.CrossRefGoogle Scholar
  8. Jackiw, R.: Quantum Meaning of Classical Field Theory, Rev. Mod. Pys. 49 (1977), 681–706.ADSMathSciNetGoogle Scholar
  9. Jardemark, K., Nyström, B., Rydenhag, B., Hamberger, A. and Jacobson, I.: Expression of Ca2+-Ion Permeable α-amino-3-hydroxy-5-methyl-4-isoxazolepro-ionate (AMPA) Receptors in Xenopus Oocytes Injected with Total RNA from Human Epileptic Temporal Lobe, Neurosci. Lett. 194 (1995), 93–96.Google Scholar
  10. Matsson, L., Sa-yakanit, V. and Boribarn, S.: Ligand-Gated Ion Channel Currents in a Nonstationary Lyotropic Model, Neurochem. Res. 28 (2003), 379–386.CrossRefGoogle Scholar

Copyright information

© Springer Science + Business Media, Inc. 2005

Authors and Affiliations

  • Leif Matsson
    • 1
    Email author
  • Virulh Sa-Yakanit
    • 2
  • Santipong Boribarn
    • 2
  1. 1.Department of Physics, Condensed Matter Theory DivisionGöteborg UniversityGothenburgSweden
  2. 2.Forum for Theoretical Science, Department of Physics, Faculty of ScienceChulalongkorn UniversityBangkokThailand

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